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Chapter Outline
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Perspective drawings are the most realistic types of drawings used in engineering and technology. A perspective drawing creates a pictorial view of an object that resembles what you see. It is the best method for representing an object in three dimensions. The basic concepts of perspective sketching are presented in Chapter 4. This chapter goes into the details necessary for creating perspective drawings with instruments or 2-D CAD.

BACKGROUND
10.1
Perspective drawing techniques are used primarily because they come the closest to representing objects and scenes as we would view them in the real world. One of the most important features of perspective drawings is the convergence of parallel edges as they recede from the viewer.

Note that perspective drawing techniques were not developed until the 14th and 15th centuries in Europe. The earliest techniques, developed by artists such as Albrecht Durer, used projection frames to assist in the accurate recreation of what they saw with their eyes. Exercise 10.1 gives an example of how you can use clear plastic as a plane of projection and capture a perspective view.


TERMINOLOGY
10.2
Terminology will be important for both explaining perspective drawing techniques and laying them out. Important terms include:
Horizon line
Station point
Picture plane
Vanishing point
Ground line

Refer to Figures 10.4 and 10.5 to see the locations of these features. In the profile view in Fig 10.4, note the angle made between the two projection lines going to the top and bottom of the near telephone pole (points A and B). Now look at the two projection lines going to points C and D on the far telephone pole and see how the angle between the two lines is much smaller. This angle, the visual angle, determines how large a real object is perceived by a human viewer and how large it would be represented in a perspective drawing.

Figure 10.8 demonstrates how the relationship between the horizon line (HL) and ground line (GL) determines the type of perspective view (i.e. human's eye, bird's eye, etc.).


PERSPECTIVE DRAWING CLASSIFICATIONS
10.3
Perspective views are classified according to the number of vanishing points. Increasing the number of vanishing points increases the realism of the drawing but also increases the drawing difficulty. The vanishing points for one- and two-point perspective drawings both go to the horizon line. The third vanishing point in a three-point perspective drawing is located perpendicular to the horizon line. Compare Figures 10.8 and 10.9 and see how the change in the relationship of the HL and GL changes the relationship of the object and vanishing point(s).

VARIABLES SELECTION
10.4
Emphasize the importance of planning ahead for a drawing by deciding on a number of key variables. Since the primary purpose of a perspective drawing is to convey a sense of realism, it is important to define the relationship of the observer to the object. The important variables are:

Distance of the object from the picture plane

Position for the station point

Position of the ground line relative to the horizon line

Number of vanishing points

For example, the depiction of a toaster would probably have the object fairly close to the picture plane with the observer looking either straight ahead or slightly down at it (i.e. human's eye or bird's eye view). On the other hand, a large building would be farther away using either a worm's eye or ground's eye view, depending on how far the building is from the observer.


ONE-POINT PERSPECTIVES
10.5
There are two basic methods of creating a perspective drawing: the plan view and measuring line method. It would probably be worthwhile to have the students step through creating a one-point perspective of a simple object using both methods (see the step-by-steps in Sections 10.5.1 and 10.5.2) but then settle on using just one of the techniques. Because there is only one vanishing point, only one dimension of the object (the depth) will converge. Note that movement of the vanishing point to the right or left of the object will reveal different profile surfaces on the object. Determine whether having the right or left profile surfaces visible is more advantageous. Try to keep as many circular features as possible parallel to the image plane and undistorted by the convergence of the depth dimension.

TWO-POINT PERSPECTIVES
10.6
With two vanishing points, two of the dimensions of the object converge (depth and width) while only the height dimension is drawn in true size and orientation. Make sure that the measuring line representing the near edge of the object is properly established since much of the construction work will be based on this line.

Inclined surfaces add considerable complexity to the layout of a perspective drawing. As with other types of pictorial drawing, inclined surfaces are drawn by first establishing points of reference along the primary dimensions and then constructing the inclined edges which make up the surface. Note that the inclined surface has its own vanishing point (point M in Figure 10.19).

As with other pictorial drawing methods, circles and curves are often plotted using a coordinate method and irregular curves. With sketching, the irregular curve can be dispensed with and the points connected freehand.


OBJECTS BEHIND THE PICTURE PLANE
10.7
For drawing objects off the picture plane, the key is to remember the picture plane continues to be the primary point of reference. This means that features on the object in the plan view will need to be projected onto the picture plane before being brought down to the pictorial view.

PERSPECTIVE GRIDS
10.8
Especially when sketching is emphasized over drafting, perspective grids greatly simplify the construction process.

CAD PERSPECTIVE DRAWINGS
10.9
As 3-D CAD becomes more popular, perspective pictorials drawn by hand will largely be replaced by ones created from the model on computer. Where hand constructed perspective pictorials will still be applicable is when a pictorial sketch needs to depict some convergence — usually a larger object such as a building.

Just as with a hand-drawn perspective, defining the relationship between the viewer and the object is critical to a the creation of a successful pictorial. With most 3-D CAD systems, a viewpoint can be established anywhere with any cone of vision. The key is to set these variables so that the necessary geometric information is most clearly communicated to the viewer.


SUMMARY

In this chapter you learned there are three types of perspective drawings: one-, two-, and three-point. Each type refers to the number of vanishing points used in the construction of the drawings. Three-point perspectives are the most realistic, but the most difficult to construct. The chapter focused on the construction of one- and two-point perspective drawings and sketches. Other variables, such as position of the ground line in relation to the horizon line, can be controlled to produce virtually any view of an object.







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